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Finding the Fourth Proportional to 214,083.70, 321,142.16 and 64,312.27

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Solution

The fourth proportional to 214,083.70, 321,142.16 and 64,312.27 is: 96,473.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,083.70 : 321,142.16 = 64,312.27 : x
  2. Step 2: Convert to fraction form
    214,083.70/321,142.16 = 64,312.27/x
  3. Step 3: Cross multiply
    214,083.70x = 321,142.16 × 64,312.27
  4. Step 4: Simplify right side
    214,083.70x = 20,653,380,980.74
  5. Step 5: Solve for x
    x = 20,653,380,980.74/214,083.70
  6. Step 6: Final answer
    x = 96,473.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.